Great fear about atmosphere around country? Here's method for solving problem (5,3,5)
I believe the answer is:
trial and error
'solving problem' is the definition.
Although both the answer and definition are singular nouns, I cannot see how they can define each other.
'great fear about atmosphere around country? here's method' is the wordplay.
'great fear' becomes 'terror' (I've seen this before).
'about' means one lot of letters goes inside another.
'atmosphere' becomes 'air' (synonyms).
'around' says the letters should be written in reverse.
'country? here's method' becomes 'land' (I am not sure about this - if you are sure you should believe this answer much more).
'air' back-to-front is 'ria'.
'ria'+'land'='rialand'
'terror' enclosing 'rialand' is 'TRIAL-AND-ERROR'.
'for' is the link.
Can you help me to learn more?
(Other definitions for trial and error that I've seen before include "Experimentation through experience" , "Experiment" , "Random experimentation" , "Problem solving by experience" , "Testing method" .)